find the limit. (if the limit is infinite, enter '[infinity]' or '-[infinity]', as appropriate. if the limit does not otherwise exist, enter dne.) lim x → [infinity] x4 − 6x2 x x3 − x 7

Americans work an average of 34.4 hours per week. The average hours per week worked varies based on gender, marital status, and race.

Answer:

-1/7

Step-by-step explanation:

Mark me as brainliest

Answer:

m = 1/7

Step-by-step explanation:

(0 - 1)/(-7 - 0)

-1/-7 = 1/7

If 1(1/4) pound of turkey is sold for $9, then the unit-price of the turkey is $7.20 per pound.

The "Unit-Price" is defined as the price of a single unit or item of a product, typically expressed in terms of a standard unit of measurement, such as price per pound, price per liter, or price per piece.

To find the unit price of turkey in the package, we need to divide the total cost of the package by the weight of the turkey in the package.

First, we need to convert 1(1/4) pounds to a decimal, which is 1.25 pounds.

Then, we can find the unit price by dividing the total-cost of $9 by the weight of the turkey in the package:

⇒ Unit price = (Total cost)/(Weight of turkey in package),

⇒ Unit price = $9/1.25 pounds,

⇒ Unit price = $7.20 per pound,

Therefore, the unit price of turkey in the package is $7.20 per pound.

Learn more about Unit Price here

https://brainly.com/question/29023044

#SPJ1

The given question is incomplete, the complete question is

A store sells a 1(1/4) pound package of turkey for $9. ​What is the unit price of the turkey in the package?

The aspect of goal setting that Lisa is encountering is b. debt-to-income ratio.

A debt-to-income ratio is the percentage of a person's monthly income that the person uses for paying debts.

Lisa's goal of buying a house in six months is unrealistic because her income is too low to cover her expenses and save enough for a down payment.

This means that her debt-to-income ratio is not favorable for achieving her goal.

She would have to either increase her income or reduce her expenses, or shift the time frame she set for buying a house.

Learn more about debt-to-income ratio at brainly.com/question/2610819

#SPJ1

It will take approximately 11.5 years for the balance to reach $20,000.

To find the time it takes for the balance to reach $20,000, we can use the formula for continuous compound interest:

A = P * e^(rt)

Where:

A is the final amount

P is the principal amount (initial investment)

e is the base of the natural logarithm (approximately 2.71828)

r is the interest rate (in decimal form)

t is the time (in years)

In this case, the principal amount (P) is $5000, the interest rate (r) is 7% per year (or 0.07 in decimal form), and we want to find the time (t) it takes for the balance to reach $20,000.

Substituting the given values into the formula, we have:

20000 = 5000 * e^(0.07t)

Dividing both sides of the equation by 5000:

4 = e^(0.07t)

To isolate the variable, we take the natural logarithm (ln) of both sides:

ln(4) = ln(e^(0.07t))

Using the property of logarithms, ln(e^x) = x:

ln(4) = 0.07t

Dividing both sides by 0.07:

t = ln(4) / 0.07 ≈ 11.527

Therefore, it will take approximately 11.5 years for the balance to reach $20,000.

Continuous compound interest is a mathematical model that assumes interest is continuously compounded over time. In reality, most banks compound interest either annually, semi-annually, quarterly, or monthly. Continuous compounding is a theoretical concept that allows us to calculate the growth of an investment over time without the limitations of specific compounding periods. In this case, the investment grows exponentially over time, and it takes approximately 11.5 years for the balance to reach $20,000.

To know more about balance, refer here:

https://brainly.com/question/27154367

#SPJ11

The point of diminishing returns is (20.98, 21247.3).

The point of diminishing returns occurs when the marginal cost of producing an extra unit of output exceeds the marginal revenue generated from selling that unit. Mathematically, it is the point at which the derivative of the production function equals zero and the second derivative is negative.

Given the polynomial function N(x) of degree 3, we can find the point of diminishing returns by finding the critical points where the first derivative equals zero and evaluating the second derivative at those points.

The derivative of N(x) is N'(x) = -18x² + 360x + 2250. To find the critical points, we set N'(x) = 0:

0 = -18x² + 360x + 2250

Dividing by -18 simplifies the equation:

0 = x² - 20x - 125

Using the quadratic formula, we find the solutions to the equation:

x₁,₂ = (20 ± √(20² - 4(1)(-125))) / 2(1)

x₁,₂ = 10 ± 5√5

Thus, the two critical points of N(x) are at x = 10 - 5√5 and x = 10 + 5√5.

To determine the point of diminishing returns, we evaluate the second derivative N''(x) = -36x + 360 at these critical points:

N''(10 - 5√5) = -36(10 - 5√5) + 360 ≈ -264.8

N''(10 + 5√5) = -36(10 + 5√5) + 360 ≈ 144.8

From the evaluations, we find that N''(10 + 5√5) is negative while N''(10 - 5√5) is positive. Therefore, the point of diminishing returns corresponds to x = 10 + 5√5.

To find the corresponding y-coordinate (N(10 + 5√5)), we can substitute the value of x into the original function N(x).

Hence, the point of diminishing returns is approximately (20.98, 21247.3).

Learn more about diminishing returns

https://brainly.com/question/30766008

#SPJ11

Answer:

this is the answer that I could do please check it if I could help you

Effective leadership can be demonstrated in many different ways, but here are a few examples of actions that may indicate effective leadership by a group leader:

1. Clear communication: A group leader who communicates clearly and effectively with their team is more likely to build trust and respect among the group.

2. Empathy and emotional intelligence: A leader who demonstrates empathy and emotional intelligence can help build a positive team culture by understanding and acknowledging the feelings and needs of their team members.

3. Delegation and empowerment: An effective leader knows how to delegate tasks and responsibilities to team members in a way that maximizes their strengths and abilities, while also providing support and guidance as needed.

4. Leading by example: A leader who sets a positive example for their team by modeling the behaviors and attitudes they want to see in their team is more likely to earn respect and trust from their team members.

5. Strategic thinking: A leader who is able to think strategically and make informed decisions based on data and evidence can help steer their team towards success.

Know more about  leadership here:

https://brainly.com/question/1232764

#SPJ11

Write the area A of an equilateral triangle as a function of the length s of its sides. Draw the triangle; label each side "2s". Draw the altitute; it will bisect the base into s and s. ... Therefore, the area is equal to the measure of the bisected side times the measure of the altitude, quantity divided by 2.

HOPE SO IT HELPS YOU

Answer:

Step-by-step explanation:

Part A

Each side including     the base is s.

Part B

Use 1/2 the base to find the height. The height meets the base at 90 degrees which gives you the right to use c^2 = b^2 + a^2

The hypotenuse is s

The base is 1/2s

h^2 = s^2 - (1/2s)^2

h^2 = s^2 - 1/4 s^2

h^2 = 3s^2/4

h = sqrt(3)/2 *s

Area = 1/2 * s * sqrt(3)/2 s

Area = 1/4 * s^2 * sqrt(3)

The cubic polynomial function can then be used to predict the torsion of the curve at any given point.

Yes, it is possible to fit a cubic polynomial given the torsion of a curve at various points. A cubic polynomial is a polynomial function with a degree of three. It has the general form of f(x) = ax³ + bx² + cx + d. Meanwhile, torsion is the measure of the amount by which a curve deviates from being planar.This deviation is a measure of how much the curve is twisted. For curves in space, torsion is the rate of change of the curve's unit normal vector along the curve. We may establish a relationship between torsion and the curvature of a curve.

Torsion can be calculated by differentiating the tangent vector of the curve. A cubic polynomial function can be used to fit a torsion curve. Given the torsion of a curve at various points, we can solve for the coefficients a, b, c, and d of a cubic polynomial function using regression analysis.

So, the cubic polynomial function can then be used to predict the torsion of the curve at any given point.

Learn more about polynomial here,

https://brainly.com/question/31864533

#SPJ11

Recapturing a higher percent of marked alligators affects the estimated total population by making it high enough to support an accurate estimate.

This is referred to as the total number of species or organisms in an area at a given period of time.

Recapture rates are high enough to support an accurate estimate. The Lincoln-Peterson calculation tends to overestimate the population size, especially if the number of recaptures is small.

Read more about Population here https://brainly.com/question/25896797

#SPJ1

Answer:

To find the original price of the dress, we can use the following formula: Original price = Sale price / Discount rate In this case, we know that the sale price was $17, and the discount rate was 85%. So we can substitute these values into the formula: Original price = $17 / 0.85 Simplifying this expression, we get: Original price = $20 Therefore, a dress originally cost $20.

The Z score for the firm would be B. 1.56.

To calculate the Z score for the potential borrowing firm using Altman's discriminant function, we'll need to substitute the given values of X1, X2, X3, X4, and X5 into the formula:

Z = 1.2 X1 + 1.4 X2 + 3.3 X3 + 0.6 X4 + 1.0 X5

By plugging in the values:

Z = 1.2(0.30) + 1.4(0) + 3.3(-0.30) + 0.6(0.15) + 1.0(2.1)

Now, perform the calculations:

Z = 0.36 + 0 - 0.99 + 0.09 + 2.1

Then, add the resulting numbers:

Z = 1.56

Altman's Z score is a widely-used financial tool that helps to predict the likelihood of a company going bankrupt. A Z score below 1.8 typically indicates a higher risk of bankruptcy, while a score above 3 suggests a lower risk. In this case, the firm's Z score of 1.56 suggests that it may be at a higher risk of bankruptcy, and further analysis should be conducted to determine the company's financial stability before extending credit or making an investment.

Therefore, the correct option is B.

Know more about Altman's discriminant function here:

https://brainly.com/question/22223063

#SPJ11

The amount it would cost to paint the outside of the box is £208

From the question, we are to determine calculate how much it would cost to paint the outside of the box

To do this, we will calculate the surface area of the box

The surface area of a box is given by

S.A = 2(lw + lh + wh)

Where S.A is the surface area

l is the length

w is the width

and h is the height  

From the given information,

l = 10 cm

w = 80 cm

h = 20 cm

Thus,

S.A = 2(10×80 + 10×20 + 80×20)

S.A = 2(800 + 200 + 1600)

S.A = 2(2600)

S.A = 5200 cm²

Also, from the given information

The paint costs £0.04 per cm2

Thus,

The cost is £0.04 × 5200

= £208

Hence, the cost is £208

Learn more on Calculating the cost to paint a box here: https://brainly.com/question/24208405

#SPJ1

Answer:

y= (3/4)x +1

Step-by-step explanation:

The answer to choosing the coefficient with the greatest value involves analyzing the equation and identifying the term with the highest coefficient.

The coefficient is the numerical value that is attached to a variable in an equation. In some cases, the coefficient with the greatest value may indicate the most significant factor in the equation.

Let us consider the quadratic equation y = ax² + bx + c, where a, b, and c are coefficients. The coefficient of the squared term (a) determines the shape of the parabola and its concavity. Therefore, if we want to know the point at which the parabola changes direction, we can determine the value of a and compare it with the values of b and c.

In some cases, choosing the coefficient with the greatest value may be necessary for optimization purposes. For instance, if we are trying to maximize profit, we may need to identify the variable that has the greatest impact on our profit margin and focus our efforts on that particular variable.

In conclusion, choosing the coefficient with the greatest value requires a careful analysis of the equation and an understanding of the significance of each term.

It may involve considering the impact of each coefficient on the overall outcome and determining which variable is the most important.

To know more about parabola visit:

brainly.com/question/11911877

#SPJ11

Answer:

85

Step-by-step explanation:

Angle Formed by Two Chords = 1/2 (sum of Intercepted Arcs)

< WSK = 1/2 ( 35+ 135)

           = 1/2 ( 170)

            =85

Answ bfyuuhgfer:

Step-by-step explanation:

Answer:

What? I think you forgot to attach the picture.

Answer:

negative

Step-by-step explanation:

When a negative number is multiplied by a positive number, the result is always negative.

Answer: 76/8547

Step-by-step explanation:

two possibilities

3 boys or 4 boys it would end up as

(18C3+18C4)/37C5

Answer:

\(\frac{(8+2)^2}{2} = 50\)

\(10+5^2-3 * 2^2 = 23\)

Step-by-step explanation:

\(\frac{(8+2)^2}{2}\)

\(\frac{10^2}{2}\)

\(\frac{100}{2}\)

50

------------------------------

\(10+5^2-3 * 2^2\)

\(10+25-3 * 4\)

\(10+25-12\)

\(35-12\)

23

The volume flow rate of the water passing through the pipe increases by a factor of 6.

Assuming that the initial cross sectional area of the pipe is A m² and the initial velocity of the water is V m/s, the water flow rate is:

= initial flow rate = area × velocity = AV m³/s

As the water speed doubles (2V m/s) and the pipe cross-sectional area triples (3A m²), the volume flow rate becomes:

Final flow rate = 2V × 3A = 6AV m³/s

As a result, the volume flow rate of the water moving through it multiplies by a ratio of six.

The basic equation for cases like these is

Q=AV,

where Q is the volume flow rate, A is the cross-sectional area occupied by the flowing material, and V is the average velocity of flow.

V is considered an average since not every component of a flowing fluid flows at the same rate. If you monitor the waters of a river moving slowly downstream at a consistent rate of gallons per second, you will see that the surface has slower currents here and faster currents there.

To learn more about volume visit:

https://brainly.com/question/13559135

#SPJ4

You find the litres of petrol you want and go up until you find where the line crosses this point and then see how far you can travel on the left so

a is 15km

and b is 39km

262

Step-by-step explanation:

in half a circle will get the answer

Answer:

∠ AFE = 80°

Step-by-step explanation:

Since BD is a straight line , then

∠ AFB + ∠ AFE + ∠ EFD = 180°, that is

50° + ∠ AFE + 50° = 180°

100° + ∠ AFE = 180° ( subtract 100° from both sides )

∠ AFE = 80°

There are 205,768 ways to select four books from the shelf in such a way that exactly one pair of books are adjacent.

To solve this problem, we can break it down into two cases:

Case 1: The pair of books is at the beginning or end of the selection.

If the pair of books is at the beginning, there are 39 options for the third book, and 38 options for the fourth book. So, there are 39 * 38 = 1,482 ways to select the books in this case.

Similarly, if the pair of books is at the end, there are also 1,482 ways to select the books.

Case 2: The pair of books is not at the beginning or end of the selection.

In this case, we have 38 options for the first book, since it cannot be adjacent to the pair. Then, there are 37 options for the second book, as it also cannot be adjacent to the pair. For the third and fourth books, there are 38 and 37 options respectively.

So, there are 38 * 37 * 38 * 37 = 202,804 ways to select the books in this case.

Finally, we can add up the possibilities from both cases:

1,482 + 1,482 + 202,804 = 205,768

Therefore, there are 205,768 ways to select four books from the shelf in such a way that exactly one pair of books are adjacent.

To know more about books refer here:

https://brainly.com/question/17061364

#SPJ11